Some key carrier transport models in the Minilase-II quantum well laser simulator are presented. They include the ballistic injection of bulk carriers into the quantum well, the scattering dynamics of quantum carriers, and quantum carrier temperature. The simulator is then used to investigate the nonlinear effects of certain carrier transport processes. Next the simulator is compared directly to experimental data. The comparison shows the importance of spectral hole burning and hot carrier effects at high output power, and it also introduces some new ideas involving the fast and slow pumping of the quantum lasing states. Finally, some preliminary simulations of multiple quantum well lasers are presented to show the highly nonuniform nature of multiple well active regions.